The article presents a description of the computational model and the results of modeling the stress-strain condition of cable-stayed structures. The calculations are performed in a geometrically nonlinear formulation.

Keywords: stress-strain condition, cable-stayed structure, geometric nonlinearity, flexible cable system, spatial framed system

The article discusses the most common schemes of direct integration of equations of motion in engineering practice, and gives basic formulas. An analysis of the accuracy of these methods is made on the example of solving a test problem

Keywords: structural dynamics, structural mechanics, direct methods for integrating equations of motion, Newmark's method, Habolt's method, Wilson's method

The article presents the algorithm of the step method for determining the limit loads for elastic-plastic rod systems. The development of the iterative process with the hypotheses used is given, taking into account the influence of the moment and longitudinal force on the limit state of individual sections, the lenght of the plastic deformation zones along the lenght of the rod. The advantage of the step-by-step method for determining the limit loads in rod systems in comparison with the "direct method " of A.R.Rzhanitsyn is demonstrated. The functions of forms depending on the type of section in explicit form are defined; the algorithm of tabulation of the form function is developed.

Keywords: slab and pile foundation, settlement of the building,stress-strain state,homogeneous anisotropic analog,finite element method

The problem of the impact of moving cars on the system "road structure – landslide slope"is considered. Adopted spatial continuum computational model. The inertial properties of vehicles and elements of the system "road structure - landslide slope"are taken into account.

Keywords: dynamic model, road construction, landslide slope, finite element method, nonlinear heredity theory, temperature-humidity factor

The article deals with the mechanical and mathematical model of deformation and development of zones of plastic deformations in landslide slopes under static and dynamic influence taking into account physical and geometrical nonlinearity.

Keywords: landslide slope, plastic deformation zone, dynamic impact, physical nonlinearity, geometric nonlinearity, stress deviator, stress tensor, deformation of the soil medium

The article deals with creep in structural mechanics. Systems of non-linear resolving equations for different types of creep kernels are written. An algorithm for solving the problem of nonlinear heredity is considered.

Keywords: creep, nonlinear heredity, creep kernel approximations, finite elements method, exponential-type kernels, least-squares method, collocation nodes

The article considers seismic conditions, seismic activity and modern standards for the design of earthquake resistant structures in Vietnam, presents the details of modeling of seismic effects on high-rise building according to the norms of Vietnam

Keywords: the earthquake resistance, the collision of tectonic plates, the peak acceleration of the soil, the method of principal coordinates, factor behavior, spectral theory of seismic stability

In the article it describes the main disadvantages of modern methods of modeling of reinforced landslide slope behavior, proposed in our research approach and the results of calculation made in the developed software complex "Polus-W"

Keywords: reinforced landslide slope, limit state, finite element method, a stepper method, a continuous system, calculation

The article deals with the direct and alternative forms of nonlinear heredity hypothesis. A relation between the nuclei produce relaxation and direct and alternative formulations. The algorithm for solving the problem of small elastic-plastic deformations in view of the heredity material finite element method.

Keywords: nonlinear heredity, integral, function, creep kernel, theory of elasticity, strain, relaxation, creep, stress, finite element method